This paper contains the first realistic estimate for the CMS sensitivity to Flavour Changing Neutral Currents (FCNC) in the top quark sector. The non-Standard Model decays t->Zq and t->γq (where represents or quarks) have been studied at 14 TeV exploiting the leptonic decays of the Z boson and the photon. A realistic detector simulation has been adopted and the most important systematic effects have been addressed. The 5- sigma discovery limits for the two decays are BR(t->Zq)=11.4x10^-4 and BR(t->γq)=5.7x10^-4, allowing some models of new physics to be tested.